Highest Common Factor of 8582, 5789, 45358 using Euclid's algorithm

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 8582, 5789, 45358 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8582, 5789, 45358 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.

Consider we have numbers 8582, 5789, 45358 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b

Highest common factor (HCF) of 8582, 5789, 45358 is 1.

HCF(8582, 5789, 45358) = 1

HCF of 8582, 5789, 45358 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

HCF of:

Highest common factor (HCF) of 8582, 5789, 45358 is 1.

Highest Common Factor of 8582,5789,45358 using Euclid's algorithm

Highest Common Factor of 8582,5789,45358 is 1

Step 1: Since 8582 > 5789, we apply the division lemma to 8582 and 5789, to get

8582 = 5789 x 1 + 2793

Step 2: Since the reminder 5789 ≠ 0, we apply division lemma to 2793 and 5789, to get

5789 = 2793 x 2 + 203

Step 3: We consider the new divisor 2793 and the new remainder 203, and apply the division lemma to get

2793 = 203 x 13 + 154

We consider the new divisor 203 and the new remainder 154,and apply the division lemma to get

203 = 154 x 1 + 49

We consider the new divisor 154 and the new remainder 49,and apply the division lemma to get

154 = 49 x 3 + 7

We consider the new divisor 49 and the new remainder 7,and apply the division lemma to get

49 = 7 x 7 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 8582 and 5789 is 7

Notice that 7 = HCF(49,7) = HCF(154,49) = HCF(203,154) = HCF(2793,203) = HCF(5789,2793) = HCF(8582,5789) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 45358 > 7, we apply the division lemma to 45358 and 7, to get

45358 = 7 x 6479 + 5

Step 2: Since the reminder 7 ≠ 0, we apply division lemma to 5 and 7, to get

7 = 5 x 1 + 2

Step 3: We consider the new divisor 5 and the new remainder 2, and apply the division lemma to get

5 = 2 x 2 + 1

We consider the new divisor 2 and the new remainder 1, and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7 and 45358 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(45358,7) .

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Frequently Asked Questions on HCF of 8582, 5789, 45358 using Euclid's Algorithm

1. What is the Euclid division algorithm?

Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.

2. what is the HCF of 8582, 5789, 45358?

Answer: HCF of 8582, 5789, 45358 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8582, 5789, 45358 using Euclid's Algorithm?

Answer: For arbitrary numbers 8582, 5789, 45358 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.